Bernoulli distribution

MR-dice-icon.png Download a pdf copy of this help file  here



image1115.gif






Format: VoseBernoulli(p, U)

Bernoulli equations

The Bernoulli distribution is a Binomial distribution with n = 1. The Bernoulli distribution returns a 1 with probability p and a zero otherwise.

 

 

 

 

 

 

 

 

Uses

The Bernoulli distribution, named after Swiss scientist Jakob Bernoulli, is very useful for modeling an event that may or may not occur. For example, if you believe that there is a 20% chance of a competitor enter your market you can model this as VoseBernoulli(0.2) or VoseBernoulli(20%): in 20% of the scenarios it will generate a 1 which you can use to build further logic on.

For a simple example, =VoseBernoulli(0.2)*VoseLognormal(12,72) models a risk event with a probability of 20% of occurring and an impact, should it occur, equal to Lognormal(12,72). In fact, a better way of modeling this is to use the VoseRiskEvent function.

VoseFunctions for this distribution

VoseBernoulli generates values from this distribution or calculates a percentile.

VoseBernoulliObject constructs a distribution object for this distribution. Professional and Industrial editions only.

VoseBernoulliProb returns the probability mass or cumulative distribution function for this distribution. Professional and Industrial editions only.

VoseBernoulliProb10 returns the log10 of the probability mass or cumulative distribution function. Professional and Industrial editions only.  

VoseBernoulliFit generates values from this distribution fitted to data, or calculates a percentile from the fitted distribution. Professional and Industrial editions only.

VoseBernoulliFitObject constructs a distribution object of this distribution fitted to data. Professional and Industrial editions only.

VoseBernoulliFitP returns the parameters of this distribution fitted to data. Professional and Industrial editions only.

See Also